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21975444640416 = 2531583144605737
BaseRepresentation
bin1001111111100100011101…
…00100100101001010100000
32212210211110112001211210110
410333302032210211022200
510340021202311443131
6114423214020331320
74425450001303221
oct477621644451240
985724415054713
1021975444640416
117002808667813
12256aba3b43b40
13c35377482c27
1455d88d829248
15281972221646
hex13fc8e9252a0

21975444640416 has 48 divisors (see below), whose sum is σ = 57721983225984. Its totient is φ = 7320520779264.

The previous prime is 21975444640337. The next prime is 21975444640427. The reversal of 21975444640416 is 61404644457912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72150901 + ... + 72454836.

It is an arithmetic number, because the mean of its divisors is an integer number (1202541317208).

Almost surely, 221975444640416 is an apocalyptic number.

It is an amenable number.

21975444640416 is an abundant number, since it is smaller than the sum of its proper divisors (35746538585568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21975444640416 is a wasteful number, since it uses less digits than its factorization.

21975444640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144607333 (or 144607325 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 21975444640416 in words is "twenty-one trillion, nine hundred seventy-five billion, four hundred forty-four million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1583 3166 4749 6332 9498 12664 18996 25328 37992 50656 75984 151968 144605737 289211474 433817211 578422948 867634422 1156845896 1735268844 2313691792 3470537688 4627383584 6941075376 13882150752 228910881671 457821763342 686732645013 915643526684 1373465290026 1831287053368 2746930580052 3662574106736 5493861160104 7325148213472 10987722320208 21975444640416